The pool is 50m long, 10m wide and 2m deep. The pool is completely filled with water.
The pool is 50m long, 10m wide and 2m deep. The pool is completely filled with water. With what force does the water press on the bottom of the pool?
l = 50 m.
a = 10 m.
h = 2 m.
ρ = 1000 kg / m ^ 3.
g = 9.8 m / s ^ 2.
F -?
Water presses on the bottom of the pool with gravity F, which is determined by the formula: F = m * g, where m is the mass of water in the pool, g is the acceleration of gravity.
Let’s find the mass of water m in the pool by the formula: m = ρ * V, where ρ is the density of the water, V is the volume of water in the pool.
The pool has the shape of a rectangular parallelepiped, the volume of which is found by the formula: V = l * a * h.
F = ρ * l * a * h * g.
F = 1000 kg / m ^ 3 * 50 m * 10 m * 2 m * 9.8 m / s ^ 2 = 9800000 N.
Answer: water presses on the bottom of the pool with a force of F = 9800000 N.